rubin drew this diagram of his garden.how can you dividethe shape to find the area?
ANSWER
We can divide in to two rectangles as in the attachment.
We then find the area of each rectangle and add together.
The area of the bigger rectangle is
[tex]A_1= 4\times 8[/tex]
[tex]A_1= 32 m^2[/tex]
The area of the smaller rectangle i
[tex]A_2= 4\times 6[/tex]
[tex]A_2= 24 m^2[/tex]
Hence the area of the figure is
[tex]Area=32+24[/tex]
[tex]Area=56 m^2[/tex]
Answer:
Divide it into a square and a rectangle
The area is 56 m^2
Step-by-step explanation:
First, you have to divide the shape to get easier shapes to find the area. We are going to draw a line and we will get a square and a rectangle. This is in the attachment.
We know that to get the area of a square and a rectangle we use the formula:
A=b*h
where
A is the area
b is the base
h is the height
After drawing the line we get a square of 4m each side and a rectangle with b=10 m and h=4m.
Now we get the area of each of the shapes.
Square:
A = 4m * 4m
A = 16 m^2
Rectangle:
A = 10m * 4m
A = 40m^2
Now we add the area of the rectangle and the area of the square to get the total area:
Total Area = 16m^2 + 40m^2
Total Area = 56m^2
what are the slopes of line A and line B? Look at the picture
we can mark points on the graph shown , check the image I have shared with this for the points .
Formula for slope = [tex]\frac{Y2-Y1}{X2-X1}[/tex]
So for Line A points are (1,3) and (0,-1)
So using t he formula slope is = [tex]\frac{-1-3}{0-1}[/tex]
slope of line A =4
For Line B the points are (0,4) and (3,-5)
So using t he formula slope is = [tex]\frac{-5-4}{3-0}[/tex]
slope of line B = -3
Julie is digging a square area in her backyard a for a vegtable garden. If the area is 52 square feet, what is the approximate length of one of her garden?
(a) 6 feet
(b) 7 feet
(c) 8 feet
(d) 9 feet
Answer:
The correct option will be: (b) 7 feet.
Step-by-step explanation:
Suppose, the length of the garden is [tex]x[/tex] feet.
As the shape of the garden is like a square, then the area of the garden will be: [tex](length)^2 = x^2[/tex] feet²
Given that, the area is 52 square feet. So, the equation will be.......
[tex]x^2= 52\\ \\ x=\sqrt{52} = 7.211.... \approx 7[/tex]
So, the approximate length of the garden will be 7 feet.
A coin had a value of $1.17 in 1995. Its value has been increasing at 9% per year. What is the value after 5 years?
P = P₀ (1 + r)ⁿ
= 1.17(1 + 0.09)⁵
= 1.17(1.09)⁵
= 1.17(1.5386)
= 1.80
Answer: $1.80
Note: If you don't know the formula, you could calculate each year.
Year 0: $1.17
Year 1: $1.17 + $1.17(0.09) = $1.2753
Year 2: $1.28 + $1.28(0.09) = $1.3948
Year 3: $1.39 + $1.39(0.09) = $1.5155
Year 4: $1.51 + $1.51(0.09) = $1.6464
Year 5: $1.65 + $1.65(0.09) = $1.7982 which rounds up to $1.80
The value of the coin after 5 years is $188.33.
To find the value of the coin after 5 years, we can apply the compound interest formula. First, convert the initial value of $1.17 to $117 (since we are dealing with percentages). Next, calculate the value after 5 years using the formula: future value = present value × (1 + growth rate)^n. Plugging in the values, we have: future value = $117 × (1 + 0.09)^5 = $117 × 1.6097 = $188.33.
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While the trio is singing a song badly 35 drink glasses are broken if there are 45 tables with 5 glasses each table how many glasses are broken
The answer is 190.
If the total amount of glasses is 5 per table and there are 45 total tables, there are 45*5 (225) total glasses before any are broken. 225 - 35 glasses (because they're broken) is 190.
The remaining glass is 190.
What is arithmetical operation?Arithmetic operations is a branch of mathematics, that involves the study of numbers, operation of numbers that are useful in all the other branches of mathematics. It basically comprises operations such as Addition, Subtraction, Multiplication and Division.
Given that, the trio is singing a song badly 35 drink glasses are broken, there are 45 tables with 5 glasses each table
If the total amount of glasses is 5 per table and there are 45 total tables, then,
there are 45*5 (225) total glasses before any are broken.
225 - 35 glasses (because they're broken) is 190.
Hence, The remaining glass is 190.
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5x+2(x+9)=x+4x+43
How do you solve this?
x = 25/2
this is your answer
Step 1. Simplify x + 4x + 43 to 5x + 43
5x + 2(x + 9) = 5x + 43
Step 2. Cancel 5x on both sides
2(x + 9) = 43
Step 3. Divide both side by 2
x + 9 = 43/2
Step 4. Subtract 9 from both sides
x = 43/2 - 9
Step 5. Simplify 43/2 - 9 to 25/2
x = 25/2
how many bytes is in a gig? and how many bits are in a gig?
there are 1000 mega bytes in a gig and bits is 100,000 i believe
Remark
There are 1000 bytes in 1 kilobyte
There are 1,000,000 bytes in a megabyte
There are 1,000,000,000 bytes in a Gigabyte.
There are 8 times as many bits as bytes in Gigabyte = 8 * 1,000,000,000 = 8,000,000,000 bits.
3.48 for 6 bananas what is the cost per pound
Hi!
If the total for 6 bananas is $3.48, then we would simply divide 3.48 by 6 to get the price for 1 banana. So, 3.48 divided by 6 equals $0.58.
Hope this helps!
What is the Greatest Common Factor of x6 and x3?
x4
x3
x2
x
Answer:
The answer is B x^3
Step-by-step explanation: I just took the FLVS exam and this was the correct answer
x3 is the Greatest Common Factor of x6 and x3.
How do you find the greatest common factor?The greatest common factor is the greatest factor that divides both numbers. To find the greatest common factor, first list the prime factors of each number. 18 and 24 shares one 2 and one 3 in common. We multiply them to get the GCF, so 2 * 3 = 6 is the GCF of 18 and 24.
What is the GCF of 4 and 6?The largest number of all those common factors is known as the greatest common factor (GCF). Here, 2 is the largest number found in both factors. Hence, the GCF of 4 and 6 is 2.
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Solve for x. −2(x+1/3)+9x=4 Enter your answer in the box.
x= 2/3
ik because i had the same question hope it will help.
Gotcha!
If you would like for me show my work just let me know.
The answer would be x=2/3 or x=0.666.....
Which list shows the numbers in order from least to greatest?
745 , 7.6, 7.41
745 , 7.41, 7.6
7.41, 745 , 7.6
7.41, 7.6, 745
745 , 7.6, 7.41
Answer:
7.41, 7.6, 745
Step-by-step explanation:
Since the slope of a vertical line is undefined, is it possible for vertical lines to be parallel.(Explain)
Yes the slope of a vertical line is parallel.
Parallel lines never intersect each other.
Y-axis is a vertical axis cartesian coordinate plane.
All vertical lines would be parallel to y-axis.
Because all vertical lines would have same slope, that is undefined slope.
Therefore, all vertical lines would be parallel lines.
So, we can finally say that it is possible for vertical lines to be parallel.
at two compartive car repair shops a random selection of 8 cars is taken
A 13.9 gallon gas tank is 4/5 full. How many gallons will it take to fill the tank?
It will take 2.78 gallons to fill the remainder of the tank.
13.9 * 4/5 = 11.12 - 11.12 is the amount of gas already in the tank.
13.9 - 11.12 = 2.78 - So, subtract 11.12 from 13.9 and you get your answer.
Hope this is right! ;)
Which equation represents the total commission (c) a sales associate receives if he sells 15 laptop computers (l)? What is the total commission if the commission for selling each computer is $39.95?
A. l = 15c; $2.66
B. c = 15l; $2.66
C. c = 15l; $599.25
D. l = 15c; $599.25
Answer : C
the total commission (c) a sales associate receives if he sells 15 laptop computers (l)
Total commission = number of laptops * commission for each laptop
Total commission is c
number of laptops is 15
commission for laptop is l
C = 15 * I
So c= 15l
the commission for selling each computer is $39.95
c= 15l
c = 15 * 39.95 = 599.25
Frank thinks he will need at about 12 1/2 kilograms of sand for sandbox he is building. The sand he wants is 3$ per kilogram. About how much will frank spend on sand? Estimate the amount of sand he will need to the nearest whole number?
Seven busloads each carrying 35 students arrived at the gam e, joining 23 students who were already there.Evaluate the expression 23+(7×35) to find the total number of students at the game.
SHOW WORK AND SHOW ANWSER CLEARLY
Answer:
268
Step-by-step explanation:
We have been given an expression [tex]23+(7\times 35)[/tex], which represents the total number of students at the game.
We are asked to evaluate the given expression.
[tex]23+(245)[/tex]
[tex]268[/tex]
Therefore, the total number of students at the game is 268.
-2 times 8 over 3 =?
Multiply
answer: -5 [tex]\frac{1}{3}[/tex]
work:
set up as fractions.
[tex]\frac{-2}{1} x \frac{8}{3} =[/tex]
multiply across to solve.
so, multiply -2 x 8 and 1 x 3.
you get [tex]\frac{-16}{3}[/tex]
or, -5 [tex]\frac{1}{3}[/tex]
i hope this helps, and have a great day! don't hesitate to ask if you need more help with this specific question! ♥ - eviezoom
Answer:
-2 * 8/3 = -16/3
Simplified, it would be: -5 1/3
Hope this helps :-)
Which best describes what a market index does?
A. An index measures market performance
B. An index measures economic trends
C. An index measures growth
D. An index measures the performance of a single stock.
Answer: A. An index measures market performance.
Step-by-step explanation:
Years ago, investors needed to analyze the overall performance of the market, so it was necessary to find the best way to know it. For this reason, the "Market index" was created. This is a method that is applied to measure the behavior of the market or, in other words, to measure the market performance. This index is then represented graphically with a curve.
The market index is used to measure market performance.
What is market index?The term market index refers to an index that is used to measure market performance. It serves as a guide to potential investors in a market.
Hence, the term which best describes the market index is that it is; "An index measures market performance".
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You have $78 in your savings account. You are buying a computer and the minimum down payment you can make is $120. Write and solve an inequality to represent the amount of money you need to reach or exceed the minimum down payment for the computer
Answer:
x >= 42$
Step-by-step explanation:
78$ + x >= 120$
78$ + x >= 120$ /-78$
x >= 42$
The inequality to represent the amount of money you need to reach or exceed the minimum down payment for the computer will be x + $78 ≤ $120 and x ≤ $42, respectively.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
You have $78 in your savings account. You are buying a computer and the minimum down payment you can make is $120.
Let 'x' be the amount of money you need to reach. Then the inequality is given as,
x + $78 ≤ $120
Simplify the equation, then we have
x + $78 ≤ $120
x ≤ $120 - $78
x ≤ $42
The inequality to represent the amount of money you need to reach or exceed the minimum down payment for the computer will be x + $78 ≤ $120 and x ≤ $42, respectively.
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Is 11.5 bigger than 8.5?
yes 11.5 is bigger than 8.5 by 3
Answer:
Yes
Step-by-step explanation:
Because the first 2 numbers are bigger than the 2nd number
3(2 – 0.9h) (1.3h 4)
If you are solving for "h" here you go.
Simplifying
3(2 + -0.9h) + (-1.3h + -4) = 0
(2 * 3 + -0.9h * 3) + (-1.3h + -4) = 0
(6 + -2.7h) + (-1.3h + -4) = 0
Reorder the terms:
6 + -2.7h + (-4 + -1.3h) = 0
Remove parenthesis around (-4 + -1.3h)
6 + -2.7h + -4 + -1.3h = 0
Reorder the terms:
6 + -4 + -2.7h + -1.3h = 0
Combine like terms: 6 + -4 = 2
2 + -2.7h + -1.3h = 0
Combine like terms: -2.7h + -1.3h = -4h
2 + -4h = 0
Solving
2 + -4h = 0
Solving for variable 'h'.
Move all terms containing h to the left, all other terms to the right.
Add '-2' to each side of the equation.
2 + -2 + -4h = 0 + -2
Combine like terms: 2 + -2 = 0
0 + -4h = 0 + -2
-4h = 0 + -2
Combine like terms: 0 + -2 = -2
-4h = -2
Divide each side by '-4'.
h = 0.5
Simplifying
h = 0.5
You're welcome! C:
Simplify 5 - 2 · 3 + 4.
Using the order of operation you would multiply first so
2 · 3 = 6
5 - 6 + 4 then we would subtract
5 - 6 = -1
-1 + 4 = 3 as your answer.
5−(2)(3)+4=3
Answer: 3
Step-by-step explanation: By using the order of operations,
2 x 3 = 6
5 - 6 = -1
-1 + 4 = 3
Therefore, 3 will be the correct answer for this problem! <3
X(x-5) +4 (x-5)=0 solve for x
[tex]x(x-5)+4(x-5)=0\\\\(x-5)(x+4)=0\iff x-5=0\ \vee\ x+4=0\\\\\boxed{x=5\ \vee\ x=-4}[/tex]
PLEASE HELP ME !!!!!!!!!!!!
At Southside Middle School, 40% of the students play an instrument. There are 305 students. How many students play an instrument?
A.40 students
B.140 students
C.122 students
D. 256 students
Also show your work
Answer:
122 students (Answer C)
Step-by-step explanation:
40 percent of the 305 total students comes out to 0.40(305 students), or
122 students.
This corresponds to answer C. 122 students play an instrument.
In 2000 the total amount of gamma ray bursts was recorded at 6.4 million for a city. In 2005, the same survey was made and the total amount of gamma ray bursts was 7.3 million. If the Earth can only withstand 1 billion gamma ray bursts, in what year will this become a problem? (Find the year in which the gamma ray bursts is 1 billion.)
In 2000 the total amount of gamma ray bursts was recorded at 6.4 million for a city.
We assume at 2000, t=0.
When t=0 then gamma ray bursts y= 6.4 million. that is (0,6.4)
In 2005, the same survey was made and the total amount of gamma ray bursts was 7.3 million
In 2005 , t= 5
When t=5 then gamma ray bursts y= 7.3 million. that is (5, 7.3)
Frame an equation using (0,6.4) and (5, 7.3)
Use equation y = a(b)^t and solve for a and b
(0,6.4) => [tex]6.4=a(b)^0[/tex] so a= 6.4
(5, 7.3) => 7.3=6.4(b)^5
[tex]\frac{7.3}{6.4} = b^5[/tex]
Now take fifth root on both sides
b= 1.0266
So the equation becomes [tex]y= 6.4(1.0266)^t[/tex]
Now we need to find out t when gamma ray bursts 1 billion
1 billion = 1000 millions
So we replace y by 1000 and we solve for t
[tex]y= 6.4(1.0266)^t[/tex]
[tex]1000= 6.4(1.0266)^t[/tex]
Divide by 6.4 and take ln on both sides
[tex]ln(\frac{1000}{6.4} )= ln(1.0266)^t[/tex]
We move the exponent 't' before ln
[tex]ln(\frac{1000}{6.4} )=t * ln(1.0266)[/tex]
Now divide both sides by ln(1.0266)
[tex]\frac{ln(\frac{1000}{6.4})}{ln(1.0266)} =t[/tex]
t = 192.419
It will take around 192 years
2000+ 192= 2192
In 2192, the gamma ray bursts is 1 billion
G.o has 3 orange picks for every two green. If there are 25 picks in all, how many picks are orange
15 picks are orange....
Answer:
15 orange picks.
Step-by-step explanation:
Let x represent the number of orange picks.
We have been given that G.o has 3 orange picks for every two green. We are asked to find the number of orange picks, if there are 25 picks in all.
Since there are 3 orange picks for every two green. so there will be 3 orange picks for all 5 (3+2) picks.
We will use proportions to solve our given problem.
[tex]\frac{x}{25}=\frac{3}{5}[/tex]
Upon multiplying both sides of our equation by 25, we will get:
[tex]\frac{x}{25}*25=\frac{3}{5}*25[/tex]
[tex]x=3*5[/tex]
[tex]x=15[/tex]
Therefore, there are 15 orange picks for all 25 picks.
Arrange the expressions in ascending order of their values when x = -2.
The expressions in ascending order of their values when x = -2. D < A < B < C.
Given Equation:
A. (1 - x²)/(1 - 2x) = -0.6
B. (x² - 1)/(1 - 2x) = 0.6
C. (2x² + 2)/2 = 3
D. (3x² + 1)/ 2(x - 1) = -1.16
Therefore, the expressions in ascending order of their values when x = -2.
-1.16 < -0.6 < 0.6 < 3.
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the arena of a tennis corurt is 2808 square feet. find the length of the court if it is 36ft wide
A tennis court is a rectange.
The area of a rectange is equal to length * width.
A = l*w
2808 = l * 36 (Divide both sides of the equation by 36)
L = 78
The area of a 2D form is the amount of space within its perimeter. The length of the court is 78 ft.
What is an area?The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.
Given that the arena of a tennis court is 2808 square feet, while the width of the court is 36ft wide. Therefore, the length of the arena can be written as,
Area of court = Length of the court × Width of the court
2808 sq. feet = Length of the court × 36 feet
Length of the court = 2808 ft² / 36 ft
Length of the court = 78 ft
Hence, the length of the court is 78 ft.
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an equation that is true for every value of the variable is a ___
An identical equation is a literal equation that is true for every value of the variable, e.g., the equation (x+1)2=x2+2x+1. A conditional equation (usually referred to simply as an equation) is a literal equation that is not true for all values of the variable, e.g., only the value 2 for x makes true the equation x+3=5.